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Finding the Fourth Proportional to 49,806.38, 68,757.72 and 31,675.34

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Solution

The fourth proportional to 49,806.38, 68,757.72 and 31,675.34 is: 43,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,806.38 : 68,757.72 = 31,675.34 : x
  2. Step 2: Convert to fraction form
    49,806.38/68,757.72 = 31,675.34/x
  3. Step 3: Cross multiply
    49,806.38x = 68,757.72 × 31,675.34
  4. Step 4: Simplify right side
    49,806.38x = 2,177,924,158.62
  5. Step 5: Solve for x
    x = 2,177,924,158.62/49,806.38
  6. Step 6: Final answer
    x = 43,727.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.